Maxwell Relations: Difference between revisions
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The Maxwell Relations are a set of partial derivative relations derived using [https://en.wikipedia.org/wiki/Symmetry_of_second_derivatives Clairaut's Theorem] that enable the expression of physical quantities such as [https://en.wikipedia.org/wiki/Gibbs_free_energy Gibbs Free Energy] and [https://en.wikipedia.org/wiki/Enthalpy Enthalpy] as infinitesimal changes in pressure (p), volume (V), temperature (T), and entropy (S). They are named after [[James Maxwell | James Maxwell]] and build upon the work done by [https://en.wikipedia.org/wiki/Ludwig_Boltzmann Ludwig Boltzmann] in [[Temperature & Entropy | Statistical Mechanics]]. | The Maxwell Relations are a set of partial derivative relations derived using [https://en.wikipedia.org/wiki/Symmetry_of_second_derivatives Clairaut's Theorem] that enable the expression of physical quantities such as [https://en.wikipedia.org/wiki/Gibbs_free_energy Gibbs Free Energy] and [https://en.wikipedia.org/wiki/Enthalpy Enthalpy] as infinitesimal changes in pressure (p), volume (V), temperature (T), and entropy (S). They are named after [[James Maxwell | James Maxwell]] and build upon the work done by [https://en.wikipedia.org/wiki/Ludwig_Boltzmann Ludwig Boltzmann] in [[Temperature & Entropy | Statistical Mechanics]]. | ||
==Basic Thermodynamic Quantities== | ==Discussion== | ||
===Basic Thermodynamic Quantities=== | |||
Revision as of 10:55, 24 November 2024
Claimed by Ram Vempati (Fall 2024)
The Maxwell Relations are a set of partial derivative relations derived using Clairaut's Theorem that enable the expression of physical quantities such as Gibbs Free Energy and Enthalpy as infinitesimal changes in pressure (p), volume (V), temperature (T), and entropy (S). They are named after James Maxwell and build upon the work done by Ludwig Boltzmann in Statistical Mechanics.
Discussion
Basic Thermodynamic Quantities
Utility of Maxwell Relations
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
All Maxwell Relations
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